To imbed the Feynman integrals into the Grassmannians through the Feynman parameterization
is not practical because sizes of corresponding Grassmannians are too large to obtain
the hypergeometric functions efficiently. In order to construct hypergeometric functions
efficiently, we adopt the alpha parameterization [1]} to analyze the Feynman integrals
of multiloop diagrams. Actually, the Feynman integral of skeleton diagram of one-loop
self energy can be equivalently written as
\(&&A_{_{1SE}}(p^2,m_{_1}^2,m_{_2}^2)={i^{2-D/2}\exp \Big \lbrace i\pi \Big ({5\over 2}-{3D\over 4}\Big )\Big \rbrace \Gamma (2-D/2)\Big (\Lambda _{_{\rm RE}}^2\Big )^{2-D/2}\over (4\pi )^{D/2}}\nonumber \\&&\hspace{99.58464pt}\times \int \omega (t)\delta (t_{_1}t_{_2}+t_{_1}t_{_3}+t_{_2}t_{_3})t_{_3}^{2-D}(t_{_1}+t_{_2})^{D/2-1}\nonumber \\&&\hspace{99.58464pt}\times \Big [t_{_1}m_{_1}^2+t_{_2}m_{_2}^2+t_{_3}p^2\Big ]^{D/2-2}\;,\) 
